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Finding the Fourth Proportional to 23,074.68, 31,840.32 and 13,000.80

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Solution

The fourth proportional to 23,074.68, 31,840.32 and 13,000.80 is: 17,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.68 : 31,840.32 = 13,000.80 : x
  2. Step 2: Convert to fraction form
    23,074.68/31,840.32 = 13,000.80/x
  3. Step 3: Cross multiply
    23,074.68x = 31,840.32 × 13,000.80
  4. Step 4: Simplify right side
    23,074.68x = 413,949,632.26
  5. Step 5: Solve for x
    x = 413,949,632.26/23,074.68
  6. Step 6: Final answer
    x = 17,939.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.